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Finding the Fourth Proportional to 84.67, 116.75 and 69.67

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Solution

The fourth proportional to 84.67, 116.75 and 69.67 is: 96.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.67 : 116.75 = 69.67 : x
  2. Step 2: Convert to fraction form
    84.67/116.75 = 69.67/x
  3. Step 3: Cross multiply
    84.67x = 116.75 × 69.67
  4. Step 4: Simplify right side
    84.67x = 8,133.97
  5. Step 5: Solve for x
    x = 8,133.97/84.67
  6. Step 6: Final answer
    x = 96.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.